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1.
Background: Teacher knowledge continues to be a topic of debate in Australasia and in other parts of the world. There have been many attempts by mathematics educators and researchers to define the knowledge needed by teachers to teach mathematics effectively. A plethora of terms, such as mathematical content knowledge, pedagogical content knowledge, horizon content knowledge and specialised content knowledge, have been used to describe aspects of such knowledge.

Purpose: This paper proposes a model for teacher knowledge in mathematics that embraces and develops aspects of earlier models. It focuses on the notions of contingent knowledge and the connectedness of ‘big ideas’ of mathematics to enact what is described as ‘powerful teaching’. It involves the teacher’s ability to set up and provoke contingent moments to extend children’s mathematical horizons. The model proposed here considers the various cognitive and affective components and domains that teachers may require to enact ‘powerful teaching’. The intention is to validate the proposed model empirically during a future stage of research.

Sources of evidence: Contingency is described in Rowland’s Knowledge Quartet as the ability to respond to children’s questions, misconceptions and actions and to be able to deviate from a teaching plan as needed. The notion of ‘horizon content knowledge’ (Ball et al.) is a key aspect of the proposed model and has provoked a discussion in this article about students’ mathematical horizons and what these might comprise. Together with a deep mathematical content knowledge and a sensibility for students and their mathematical horizons, these ideas form the foundations of the proposed model.

Main argument: It follows that a deeper level of knowledge might enable a teacher to respond better and to plan and anticipate contingent moments. By taking this further and considering teacher knowledge as ‘dynamic’, this paper suggests that instead of responding to contingent events, ‘powerful teaching’ is about provoking contingent events. This necessarily requires a broad, connected content knowledge based on ‘big mathematical ideas’, a sound knowledge of pedagogies and an understanding of common misconceptions in order to be able to engineer contingent moments.

Conclusions: In order to place genuine problem-solving at the heart of learning, this paper argues for the idea of planning for contingent events, provoking them and ‘setting them up’. The proposed model attempts to represent that process. It is anticipated that the new model will become the framework for an empirical research project, as it undergoes a validation process involving a sample of primary teachers.  相似文献   

2.
Abstract

This article explores the dynamic between Black youth and their teachers through an exploration of an approach to teaching and learning embedded in the complex cultural knowledge(s) of this population. It interrogates the concepts of ratchedemics and reality pedagogy as both philosophy and practice for moving past the framing of particular populations as dystopian and non-academic in the pursuit of the mirage of urban educational utopia.  相似文献   

3.
Pro Bono Publico     
Abstract

The dynamics of classroom authority are not always simple. Students come to school to increase their knowledge, and teachers presumably know more about their subject than do their students, but learning is not exclusively a one-way downward flow of information. Teachers learn from students and students often learn best when teachers do not exert their authority, at least in the conventional sense. Instructors who provoke thinking encourage students to encounter their own moments of illumination. This article presents the idea that learning through active resistance makes the information that students discover more valuable to them. Examples from the author's own classroom experiences are provided.  相似文献   

4.

This paper is a discussion of mentoring in the context of knowledge productivity in organisations. Links are made between the perspective of organisations as knowledge productive, the theory of situated learning and the developmental strategy of mentoring as a basis for arguing that mentoring has a distinctive contribution to make to organisations whose success is dependent upon being knowledge productive. Learning at work is conceptualised in terms of a corporate curriculum, an inclusive concept which recognises the diverse ways in which people learn in an organisational environment. In particular, learning in and through a mentoring relationship is viewed as contributing to a person's ability to be knowledge productive.  相似文献   

5.

Denzin & Lincoln (1994) define five historical moments in qualitative research and present ideas for future moments that focus on dialogue and storytelling of lived experiences in locally situated communities. Our learning community (teacher and students) in an introductory graduate qualitative research course listened to each others' talk on black feminist writings. I used students' reflections to begin to define a powerful moment for the future of qualitative research, the "crisis of de-communitization." This crisis reveals that globalization, environmental degradation, and economic exploitation are eroding the framework for care and nurture in our local communities. Therefore, it invites qualitative researchers to become engaged pedagogues within our communities to create spaces for "honest talk" that opens our hearts and minds to the pains and joys of social diversity. In this moment, qualitative researchers are challenged to write through the lens of difference by committing to four major components that define ways to move out of the crisis: eros, morality, empowerment, and transformation.  相似文献   

6.

In light of the significant changes happening in all sectors of our society, we in the education sector and in particular in the universities, have adopted a number of innovative ideas for delivering education. Many of these innovations deal with procedural aspects related to learning and consequently little concern has been shown to individuals' beliefs about knowledge and dispositions for learning. Beliefs and dispositions are powerful tools to effect a more meaningful and sustainable change to how individuals engage in learning. This paper discusses some recent findings from research into university students' beliefs about the nature of knowledge and their conceptions of learning, and identifies the implications for a learner-centred university education. Learners' beliefs both informal and formal may influence the way they approach learning. Do they learn to apply, or learn to understand? The effort they make to learn depends on their perception of how the learning will reward them. The paper also explores the cross-cultural beliefs about knowledge and conceptions of learning.  相似文献   

7.
ABSTRACT

Cities around the world are increasingly developing city-wide lifelong learning strategies to promote individual and civic adaptation to major economic, technological, and environmental challenges. Such initiatives, however, have not yet received commensurate research attention from education researchers and it is not yet clear that we have the theoretical or methodological tools to research the complexity of learning at a city scale. This paper attempts to outline one approach that might respond to this challenge by drawing on the concept of ‘lively infrastructure’ from urban studies. Based on 11 months of detailed ethnographic fieldwork in the city of Bristol, the paper draws on this concept to trace how learning infrastructures are produced, accessed, and reshaped by individuals and serve to provision particular forms of learning in the city. In so doing, the paper argues that learning infrastructures need to be understood as discursive, material, and affective; as deeply interconnected with other city infrastructures, particularly childcare and transport; and as capable of morphing to create both radical new forms of learning activity as well as consolidating existing practices of exclusion and inequality.  相似文献   

8.
Abstract

This paper considers the ‘knowledge economy’ as it is used in education rhetoric to establish social and educational consent for significant changes both to the spatial organisation of classrooms and their affective economies. We draw on ethnographic data from a study of ‘non-traditional classroom spaces’, where the spatial organisation of schooling emerged as a potential fulcrum through which the imaginary of the conventional primary classroom was being reconceptualised. Traditionally configured classroom spaces and the learning that takes place within them were being challenged and replaced by notions of twenty-first century learning in ‘agile’ learning environments. In the context of this reform agenda, these open-plan spaces were seen as offering new prospects for participation in a globally connected and competitive economic world that requires students to continuously adapt, innovate and respond creatively to a range of different problems. We consider how these everyday moments function as conceptual encounters between affective, embodied experiences and educational reform discourses that rationalise the implementation of non-traditional classroom spaces in ways that have very little to do with children and their futures. This cultural approach takes a step aside from numerous, and necessary, critiques of recent educational policies per se, in order to consider what might be learned from the uncanny spectres of child bodies that haunt them. The paper draws attention to examples of children’s affect in non-traditional classrooms and what that may tell us about current educational reform when sacrifice forms part of the missing account of educational reorganisation for the knowledge economy.  相似文献   

9.
ABSTRACT

The international Smart Cities and the Learning Cities movements are not often linked. However, there are learning questions at stake here. Smart city agendas are often criticised as being technocratic and instrumental, prioritising market-led solutions to urban issues. Such criticism has led to moves to place the citizen at the centre of these discussions. This raises educational challenges: what theories and forms of learning are required for citizens to play a role in the development of digital, urban futures? This paper adopts ethnographic methods to study the assumptions about learning in a Europe-wide smart city project that included a component of citizen-led development. Our argument provides important messages for smart city planners and developers keen to include citizens in smart city development. It suggests that the current ‘banking’ models of learning adopted in relation to citizen participation are not fit for purpose and that a new model is needed. This needs to recognise citizen learning as situated in social and material contexts and embedded in unequal relations of power, knowledge and resources. We make the case for smart city initiatives to offer city inhabitants critical, creative learning opportunities that begin to address the inequalities that constitute the contemporary smart city.  相似文献   

10.
Abstract

One of the questions that Heidegger presents in his paper, ‘Plato’s Doctrine on Truth’, is the distortion as he sees it of paideia—that is the loss of the essential elements in education. This loss is characterised according to Heidegger, by a misconception of Plato’s concept of teaching and learning. By undertaking an historical examination, Heidegger provides a means to rectify this loss. With reference to past, present and future philosophical perspectives of teaching and learning as particular spaces, an attempt is made in this paper to examine Heidegger’s reading of paideia within the context of online learning. This, for many contemporary writers on education, is an encounter with new literacies, new knowledge and the adoption of an online environment that challenges the hegemonic order of the institution as the purveyors of knowledge. Teachers within this new environment are, however still constituted as experts and their knowledge is seen as ultimately inviolate. Heidegger in his re-interpretation of Plato sees the teacher as leading the students to where they might make themselves intelligible within the space of their being. This alignment forms an acceptance and a challenge to the metaphysical concepts of uniformity of being and place that limits the potential of knowledge as something that is fixed and complete. The experience of the social web or Web 2.0 has seen a shift in learning premised upon dialogue, exchange and constantly shifting horizons. Within this context, the teacher is recast as a craftsman, creating learning opportunity within dialogic exchange. The heightened sense of involvement that is revealed in this context lays the ground for a future visioning of education where emergence is seen as essential, unlike a re-working of authorisation to learn that inhibits student and teacher alike in new attempts at revitalising education.  相似文献   

11.
Abstract

Solos have a long history in outdoor learning (education) for their use in ‘wilderness’ settings. They have been theorised in experiential education literature and through phenomenological concepts where dwelling and solitude provide unstructured time for individual reflection. Place-Based Education provides opportunities for educators to develop place-responsive practices in areas local to where people live, work and study. This paper reports on an exploratory investigation into a Masters-level course. Students were required to undertake an ‘urban solo’ in a familiar place and consider how ontological disruption might be nurtured in city-based locations. Six students participated in semi-structured interviews which were then analysed thematically using a constructivist grounded theory approach. Findings revealed that their solo experiences had had a profound and unexpected effect on all students. These changes seemed to occur as the result of an ontological shift in the students from being passive receptors of stimuli to engaging more actively with their surroundings. We concluded that, because of its simplicity and close proximity to school grounds, the urban solo is one way for teachers to overcome the barriers they consistently report to outdoor learning. We recommend that future studies draw further on urban theorists to develop more city-based, place-responsive practices.  相似文献   

12.
ABSTRACT

Background: Outdoor learning and computer-based learning are two different alternatives to in-class conventional teacher-centered learning.

Purpose: This study compares the outdoor learning setting with computer-based learning in class. It examines the influence of the two different learning settings on academic achievements, the learning experience, and pro-environmental perceptions.

Sample: A total of 90 elementary school students (third and fourth-grade classes) participated in the study.

Design and methods: The academic knowledge of the study participants was tested through identical exams for both learning settings. In addition, in each group the students’ perceptions were examined by means of a questionnaire about environmental values and the learning experience.

Results: The study demonstrates that academic achievements in the two settings were similar, but the students expressed more enthusiasm about the outdoor learning experience than about in-class learning. In addition, the outdoor learning setting contributed more to promoting positive environmental perceptions even though students did not learn directly about environmental issues and sustainability.

Conclusions: These findings suggest that learning in the natural environment is valuable: Alongside the fostering of computerized learning, it is also important to promoteoutdoor learning settings and integrate both settings by implementing mobile technologies in the outdoor teaching.  相似文献   

13.

Much has been written recently about inclusive learning environments in higher education. Most of this writing has unproblematically assumed a simple link between inclusion and access to institutions. In this paper I suggest that inclusive learning environments need to be reconceptualised as contexts within which a 'democratisation of knowledge' occurs. I draw upon my experience as a tutor on a professional development course for university lecturers to explore this reconceptualisation, looking in particular at issues to do with experiential knowledge, gender and sexuality.  相似文献   

14.
Abstract

This article is based on a study involving 126 International Baccalaureate (IB) teachers in more than 30 countries who, through the use of asynchronous online discussion forums, shared how they teach and simultaneously reflected upon how they conceptualize global citizenship. Data analysis revealed that participants developed new understandings about open-mindedness, interconnectedness, and cross-cultural learning experiences. Online data collection in educational research offers great opportunity for furthering professional development in global citizenship education.  相似文献   

15.

Engagement of student-teachers with the community of practice they are entering is central to the formation of their identity as an educator. This paper outlines a teaching and research project that enabled early childhood student-teachers to gain insights into the field through interviewing past teachers and reflecting on their practices. In the process, students became aware of the complexities of their chosen profession, alternative teaching practices and different ways of relating with families. Their responses indicated that the experience had an impact on their identity with the profession, their learning about the nature of history and their understanding of research processes.  相似文献   

16.
Background: This exploratory study is part of a larger-scale research project aimed at building theoretical and practical knowledge of complex systems in students and teachers with the goal of improving high school biology learning through professional development and a classroom intervention.

Purpose: We propose a model of adaptive expertise to better understand teachers’ classroom practices as they attempt to navigate myriad variables in the implementation of biology units that include working with computer simulations, and learning about and teaching through complex systems ideas.

Sample: Research participants were three high school biology teachers, two females and one male, ranging in teaching experience from six to 16 years. Their teaching contexts also ranged in student achievement from 14–47% advanced science proficiency.

Design and methods: We used a holistic multiple case study methodology and collected data during the 2011–2012 school year. Data sources include classroom observations, teacher and student surveys, and interviews. Data analyses and trustworthiness measures were conducted through qualitative mining of data sources and triangulation of findings.

Results: We illustrate the characteristics of adaptive expertise of more or less successful teaching and learning when implementing complex systems curricula. We also demonstrate differences between case study teachers in terms of particular variables associated with adaptive expertise.

Conclusions: This research contributes to scholarship on practices and professional development needed to better support teachers to teach through a complex systems pedagogical and curricular approach.  相似文献   

17.
Abstract

Teaching a business program capstone class presents a double challenge, requiring the educator to integrate different functional areas of business and evaluate student learning. This paper discusses concept maps as an active learning assessment tool in teaching a strategic management capstone course. Concept maps are used to meaningfully depict knowledge and present illustrations of relationships between concepts in a particular course. This study reviews 54 individual and 19 group concept maps collected over three semesters. The analysis affirms that concept maps are a powerful pedagogical tool that requires students to reflect on the knowledge gained during a course.  相似文献   

18.
ABSTRACT

This article explores the discourse practices of an Indigenous, community-based charter school and its efforts to create space for Indigenous both/and identities across rural–urban divides. The ethnographic portrait of Urban Native Middle School (UNMS) analyzes the discourse of making ‘a space for you’, which brings together rural and urban youth to braid binary constructs such as Indigenous and western knowledge, into a discourse of Indigenous persistence constraining contexts of schooling. We use the concept of ‘reterritorialization’ to discuss the significance of UNMS’s community effort to create a transformative space and place of educational opportunity with youth. The local efforts of this small community to reterritorialize schooling were ultimately weakened under the one-size-fits-all accountability metrics of No Child Left Behind policy. This ethnographic analysis ‘talks back’ to static definitions of identity, space and learning outcomes which fail to recognize the dynamic and diverse interests of Indigenous communities across rural – urban landscapes.  相似文献   

19.
Background: The population of Mauritius consists of 52% females and scientific literacy is seen to be of vital importance for all young people if they are to be sufficiently equipped to meet the challenges of a fast changing world. Previous research shows, however, that science is not popular among girls. This paper explores one of many reasons why few girls opt for science subjects after compulsory schooling.

Purpose: This study investigated the approaches to teaching in four science classrooms in Mauritius, with particular emphases on the preferences of girls as they learn science.

Sample: A total of 20 student interviews and 16 teacher interviews were conducted in four schools in Mauritius. The four mixed-faith schools comprised two all-girl schools (one state, one fee-paying), and two mixed-sex schools (one state, one fee-paying), within urban, suburban and rural situations.

Design and method: 80 non-participant lessons were observed, of which 60 were science lessons while the remaining 20 non-science lessons were in economics, accounts and commerce. Group interviews with five pupils in each of the four schools were conducted and 16 individual interviews with teachers in the four schools gave an insight into the pedagogic approaches used for the teaching and learning of science.

Results: Transmissive approaches to teaching, giving little opportunity for collaborative or activity-based learning, were found to be the most important factors in alienating the girls from science.

Conclusions: There need to be radical changes in approaches to teaching to retain young girls’ interest in the sciences.  相似文献   

20.
ABSTRACT

How does participation in nonformal learning influence the self-perceived well-being among older adults? This article looks into that issue through a study of people aged 65 years or older who have participated in Swedish study circles. The data analyzed consists of a nation-wide survey of study circle participants. The results show that there are beneficial effects from participating in study circles for the well-being of older adults. As could be expected, participants claim that their knowledge and skills have increased; but the main finding is the importance of the social dimension of participating in nonformal learning activities. The fellowship created in study circles is both an important motive for participation and an important outcome of having participated. This, however, is not at the expense of gaining new knowledge. Rather, the two dimensions may strengthen each other. Nonformal settings appear to provide an environment that has positive effects on the well-being of older adults. They do this by fostering a sense of belonging and the opportunity to be part of a fellowship that may work as an aid in avoiding social isolation and loneliness.  相似文献   

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